Abstract
The aim of this article is, on the one hand, to determine suitable classes of fuzzy neighborhood division rings that can be used as scalar domains for linear fuzzy neighborhood spaces, so as to accommodate: 1. (a) a nonvanishing linear transformation T is continuous on the space if and only if the kernel of T is N-hyperclosed; 2. (b) a nonvanishing linear transformation T is continuous on the space if and only if it has N-hyperclosed graph; 3. (c) every finite-dimensional linear space admits exactly one admissible fuzzy neighborhood system; and, on the other hand, to examine several elegant features of those classes of fuzzy neighborhood division rings.
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